SEMI-ANALYTICAL ANALYSIS OF A FRACTIONAL-ORDER PANDEMIC DYNAMICAL MODEL USING NON-LOCAL OPERATOR

Muhammad Marwan, Gauhar Ali, Feng Li, Suhad Ali Osman Abdallah and Taoufik Saidani
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Muhammad Marwan: School of Mathematics and Statistics, Linyi University, Linyi 276005, Shandong, P. R. China
Gauhar Ali: ��Department of Mathematics, Government P. G. Jahanzeb College Swat, Khyber Pakhtunkhwa, Pakistan
Feng Li: School of Mathematics and Statistics, Linyi University, Linyi 276005, Shandong, P. R. China
Suhad Ali Osman Abdallah: ��Applied College, Khamis Mushait, King Khalid University, Abha 62529, Saudi Arabia
Taoufik Saidani: �Center for Scientific Research and Entrepreneurship, Northern Border University, Arar 73213, Saudi Arabia

FRACTALS (fractals), 2025, vol. 33, issue 05, 1-13

Abstract: A significant issue of a deadly virus, CoronaVirus (COV) disease, quickly spreadable among human beings is investigated in this paper. Therefore, fractional-ordered mathematical model representing transmission dynamics of SARS COV-2019 with four components, i.e., Susceptible S(t), Infected I(t), Recovered R(t), and Death D(t) is considered. The main target of this paper is to investigate the existence of solution, stability and their numerical simulations. Therefore, Attangana–Ballenu–Caputo (ABC) derivative is used as a tool to find the existence of solution, whereas Adomian decomposition in combination with the integral (Laplace) transformation (LADM) is utilized for their numerical approximations. Finally, the achieved analytical results are validated and visualized through numerical simulations using MATLAB for the better understanding of dynamics in the transmission of infection disease.

Keywords: Fractional Order Dynamical Systems; Attangana–Bellenu–Caputo Derivative; Stability Analysis; Laplace Adomian Decomposition Method; Approximate Solutions (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0218348X25500483

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